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1001110020120 = 233257397265881
BaseRepresentation
bin11101001000101101100…
…11101010000000011000
310112201001002010021211100
432210112303222000120
5112400233131120440
62043523102031400
7132220303524210
oct16442663520030
93481032107740
101001110020120
113566285644a1
12142031878560
1373534247292
143664da33240
151b093e2b230
hexe916cea018

1001110020120 has 96 divisors (see below), whose sum is σ = 3718408655520. Its totient is φ = 228825146880.

The previous prime is 1001110020109. The next prime is 1001110020139. The reversal of 1001110020120 is 210200111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198630421 + ... + 198635460.

It is an arithmetic number, because the mean of its divisors is an integer number (38733423495).

Almost surely, 21001110020120 is an apocalyptic number.

1001110020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001110020120 is an abundant number, since it is smaller than the sum of its proper divisors (2717298635400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001110020120 is a wasteful number, since it uses less digits than its factorization.

1001110020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397265905 (or 397265898 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001110020120 its reverse (210200111001), we get a palindrome (1211310131121).

The spelling of 1001110020120 in words is "one trillion, one billion, one hundred ten million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 397265881 794531762 1191797643 1589063524 1986329405 2383595286 2780861167 3178127048 3575392929 3972658810 4767190572 5561722334 5958988215 7150785858 7945317620 8342583501 9534381144 11123444668 11917976430 13904305835 14301571716 15890635240 16685167002 17876964645 22246889336 23835952860 25027750503 27808611670 28603143432 33370334004 35753929290 41712917505 47671905720 50055501006 55617223340 66740668008 71507858580 83425835010 100111002012 111234446680 125138752515 143015717160 166851670020 200222004024 250277505030 333703340040 500555010060 1001110020120